---
_id: '13331'
abstract:
- lang: eng
text: "The extension of extremal combinatorics to the setting of exterior algebra
is a work\r\nin progress that gained attention recently. In this thesis, we study
the combinatorial structure of exterior algebra by introducing a dictionary that
translates the notions from the set systems into the framework of exterior algebra.
We show both generalizations of celebrated Erdös--Ko--Rado theorem and Hilton--Milner
theorem to the setting of exterior algebra in the simplest non-trivial case of
two-forms.\r\n"
alternative_title:
- ISTA Master's Thesis
article_processing_charge: No
author:
- first_name: Seyda
full_name: Köse, Seyda
id: 8ba3170d-dc85-11ea-9058-c4251c96a6eb
last_name: Köse
citation:
ama: Köse S. Exterior algebra and combinatorics. 2023. doi:10.15479/at:ista:13331
apa: Köse, S. (2023). Exterior algebra and combinatorics. Institute of Science
and Technology Austria. https://doi.org/10.15479/at:ista:13331
chicago: Köse, Seyda. “Exterior Algebra and Combinatorics.” Institute of Science
and Technology Austria, 2023. https://doi.org/10.15479/at:ista:13331.
ieee: S. Köse, “Exterior algebra and combinatorics,” Institute of Science and Technology
Austria, 2023.
ista: Köse S. 2023. Exterior algebra and combinatorics. Institute of Science and
Technology Austria.
mla: Köse, Seyda. Exterior Algebra and Combinatorics. Institute of Science
and Technology Austria, 2023, doi:10.15479/at:ista:13331.
short: S. Köse, Exterior Algebra and Combinatorics, Institute of Science and Technology
Austria, 2023.
date_created: 2023-07-31T10:20:55Z
date_published: 2023-07-31T00:00:00Z
date_updated: 2023-10-04T11:54:56Z
day: '31'
ddc:
- '510'
- '516'
degree_awarded: MS
department:
- _id: GradSch
- _id: UlWa
doi: 10.15479/at:ista:13331
file:
- access_level: closed
checksum: 96ee518d796d02af71395622c45de03c
content_type: application/x-zip-compressed
creator: skoese
date_created: 2023-07-31T10:16:32Z
date_updated: 2023-07-31T10:16:32Z
file_id: '13333'
file_name: Exterior Algebra and Combinatorics.zip
file_size: 28684
relation: source_file
- access_level: open_access
checksum: f610f4713f88bc477de576aaa46b114e
content_type: application/pdf
creator: skoese
date_created: 2023-08-03T15:28:55Z
date_updated: 2023-08-03T15:28:55Z
file_id: '13480'
file_name: thesis-pdfa.pdf
file_size: 4953418
relation: main_file
success: 1
file_date_updated: 2023-08-03T15:28:55Z
has_accepted_license: '1'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: '26'
publication_identifier:
issn:
- 2791-4585
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
record:
- id: '12680'
relation: part_of_dissertation
status: public
status: public
supervisor:
- first_name: Uli
full_name: Wagner, Uli
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
title: Exterior algebra and combinatorics
type: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2023'
...
---
_id: '14226'
abstract:
- lang: eng
text: "We introduce the notion of a Faustian interchange in a 1-parameter family
of smooth\r\nfunctions to generalize the medial axis to critical points of index
larger than 0.\r\nWe construct and implement a general purpose algorithm for approximating
such\r\ngeneralized medial axes."
alternative_title:
- ISTA Master's Thesis
article_processing_charge: No
author:
- first_name: Elizabeth R
full_name: Stephenson, Elizabeth R
id: 2D04F932-F248-11E8-B48F-1D18A9856A87
last_name: Stephenson
orcid: 0000-0002-6862-208X
citation:
ama: Stephenson ER. Generalizing medial axes with homology switches. 2023. doi:10.15479/at:ista:14226
apa: Stephenson, E. R. (2023). Generalizing medial axes with homology switches.
Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:14226
chicago: Stephenson, Elizabeth R. “Generalizing Medial Axes with Homology Switches.”
Institute of Science and Technology Austria, 2023. https://doi.org/10.15479/at:ista:14226.
ieee: E. R. Stephenson, “Generalizing medial axes with homology switches,” Institute
of Science and Technology Austria, 2023.
ista: Stephenson ER. 2023. Generalizing medial axes with homology switches. Institute
of Science and Technology Austria.
mla: Stephenson, Elizabeth R. Generalizing Medial Axes with Homology Switches.
Institute of Science and Technology Austria, 2023, doi:10.15479/at:ista:14226.
short: E.R. Stephenson, Generalizing Medial Axes with Homology Switches, Institute
of Science and Technology Austria, 2023.
date_created: 2023-08-24T13:01:18Z
date_published: 2023-08-24T00:00:00Z
date_updated: 2024-02-26T23:30:04Z
day: '24'
ddc:
- '500'
degree_awarded: MS
department:
- _id: GradSch
- _id: HeEd
doi: 10.15479/at:ista:14226
file:
- access_level: closed
checksum: 453caf851d75c3478c10ed09bd242a91
content_type: application/x-zip-compressed
creator: cchlebak
date_created: 2023-08-24T13:02:49Z
date_updated: 2024-02-26T23:30:03Z
embargo_to: open_access
file_id: '14227'
file_name: documents-export-2023-08-24.zip
file_size: 15501411
relation: source_file
- access_level: open_access
checksum: 7349d29963d6695e555e171748648d9a
content_type: application/pdf
creator: cchlebak
date_created: 2023-08-24T13:03:42Z
date_updated: 2024-02-26T23:30:03Z
embargo: 2024-02-25
file_id: '14228'
file_name: thesis_pdf_a.pdf
file_size: 6854783
relation: main_file
file_date_updated: 2024-02-26T23:30:03Z
has_accepted_license: '1'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
page: '43'
publication_identifier:
issn:
- 2791-4585
publication_status: published
publisher: Institute of Science and Technology Austria
status: public
supervisor:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
title: Generalizing medial axes with homology switches
type: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2023'
...
---
_id: '12531'
abstract:
- lang: eng
text: "All visual experiences of the vertebrates begin with light being converted
into electrical signals\r\nby the eye retina. Retinal ganglion cells (RGCs) are
the neurons of the innermost layer of the\r\nmammal retina, and they transmit
visual information to the rest of the brain.\r\nIt has been shown that RGCs vary
in their morphology and genetic profiles, moreover they can\r\nbe unambiguously
grouped into subtypes that share the same morphological and/or molecular\r\nproperties.
However, in terms of RGCs function, it remains unclear how many distinct types\r\nthere
are and what response properties their typology relies on. Even given the recent
studies\r\nthat successfully classified RGCs in a patch of the retina [1] and
in scotopic conditions [2], the\r\nquestion remains whether the found subtypes
persist across the entire retina.\r\nIn this work, using a novel imaging method,
we show that, when sampled from a large portion\r\nof the retina, RGCs can not
be clearly divided into functional subtypes. We found that in\r\nphotopic conditions,
which implies more prominent natural scene statistic differences across\r\nthe
visual field, response properties can be exhibited by cells differently depending
on their\r\nlocation in the retina, which leads to formation of a gradient of
features rather than distinct\r\nclasses.\r\nThis finding suggests that RGCs follow
a global organization across the visual field of the\r\nanimal, adapting each
RGC subtype to the requirements imposed by the natural scene statistics."
alternative_title:
- ISTA Master's Thesis
article_processing_charge: No
author:
- first_name: Kseniia
full_name: Kirillova, Kseniia
id: 8e3f931e-dc85-11ea-9058-e7b957bf23f0
last_name: Kirillova
citation:
ama: Kirillova K. Panoramic functional gradients across the mouse retina. 2023.
doi:10.15479/at:ista:12531
apa: Kirillova, K. (2023). Panoramic functional gradients across the mouse retina.
Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:12531
chicago: Kirillova, Kseniia. “Panoramic Functional Gradients across the Mouse Retina.”
Institute of Science and Technology Austria, 2023. https://doi.org/10.15479/at:ista:12531.
ieee: K. Kirillova, “Panoramic functional gradients across the mouse retina,” Institute
of Science and Technology Austria, 2023.
ista: Kirillova K. 2023. Panoramic functional gradients across the mouse retina.
Institute of Science and Technology Austria.
mla: Kirillova, Kseniia. Panoramic Functional Gradients across the Mouse Retina.
Institute of Science and Technology Austria, 2023, doi:10.15479/at:ista:12531.
short: K. Kirillova, Panoramic Functional Gradients across the Mouse Retina, Institute
of Science and Technology Austria, 2023.
date_created: 2023-02-09T07:45:05Z
date_published: 2023-02-08T00:00:00Z
date_updated: 2024-02-09T23:30:04Z
day: '08'
ddc:
- '570'
degree_awarded: MS
department:
- _id: GradSch
- _id: MaJö
doi: 10.15479/at:ista:12531
file:
- access_level: open_access
checksum: 57d8da3a6c749eb1556b7435fe266a5f
content_type: application/pdf
creator: cchlebak
date_created: 2023-02-09T08:03:32Z
date_updated: 2024-02-09T23:30:03Z
embargo: 2024-02-08
file_id: '12532'
file_name: Thesis_Kseniia___ISTA__istaustriathesis_PDF-A.pdf
file_size: 8369317
relation: main_file
- access_level: closed
checksum: 87fb44318e4f9eb9da2ad9ad6ca8e76f
content_type: application/x-zip-compressed
creator: cchlebak
date_created: 2023-02-10T09:32:06Z
date_updated: 2024-02-09T23:30:03Z
embargo_to: open_access
file_id: '12535'
file_name: Thesis Kseniia - ISTA [istaustriathesis]-FINAL.zip
file_size: 11204408
relation: source_file
file_date_updated: 2024-02-09T23:30:03Z
has_accepted_license: '1'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-sa/4.0/
month: '02'
oa: 1
oa_version: Published Version
page: '46'
publication_identifier:
issn:
- 2791-4585
publication_status: published
publisher: Institute of Science and Technology Austria
status: public
supervisor:
- first_name: Maximilian A
full_name: Jösch, Maximilian A
id: 2BD278E6-F248-11E8-B48F-1D18A9856A87
last_name: Jösch
orcid: 0000-0002-3937-1330
title: Panoramic functional gradients across the mouse retina
tmp:
image: /images/cc_by_nc_sa.png
legal_code_url: https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC
BY-NC-SA 4.0)
short: CC BY-NC-SA (4.0)
type: dissertation
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2023'
...
---
_id: '12800'
abstract:
- lang: eng
text: 'The evolutionary processes that brought about today’s plethora of living
species and the many billions more ancient ones all underlie biology. Evolutionary
pathways are neither directed nor deterministic, but rather an interplay between
selection, migration, mutation, genetic drift and other environmental factors.
Hybrid zones, as natural crossing experiments, offer a great opportunity to use
cline analysis to deduce different evolutionary processes - for example, selection
strength. Theoretical cline models, largely assuming uniform distribution of individuals,
often lack the capability of incorporating population structure. Since in reality
organisms mostly live in patchy distributions and their dispersal is hardly ever
Gaussian, it is necessary to unravel the effect of these different elements of
population structure on cline parameters and shape. In this thesis, I develop
a simulation inspired by the A. majus hybrid zone of a single selected locus under
frequency dependent selection. This simulation enables us to untangle the effects
of different elements of population structure as for example a low-density center
and long-range dispersal. This thesis is therefore a first step towards theoretically
untangling the effects of different elements of population structure on cline
parameters and shape. '
alternative_title:
- ISTA Master's Thesis
article_processing_charge: No
author:
- first_name: Mara
full_name: Julseth, Mara
id: 1cf464b2-dc7d-11ea-9b2f-f9b1aa9417d1
last_name: Julseth
citation:
ama: Julseth M. The effect of local population structure on genetic variation at
selected loci in the A. majus hybrid zone. 2023. doi:10.15479/at:ista:12800
apa: Julseth, M. (2023). The effect of local population structure on genetic
variation at selected loci in the A. majus hybrid zone. Institute of Science
and Technology Austria. https://doi.org/10.15479/at:ista:12800
chicago: Julseth, Mara. “The Effect of Local Population Structure on Genetic Variation
at Selected Loci in the A. Majus Hybrid Zone.” Institute of Science and Technology
Austria, 2023. https://doi.org/10.15479/at:ista:12800.
ieee: M. Julseth, “The effect of local population structure on genetic variation
at selected loci in the A. majus hybrid zone,” Institute of Science and Technology
Austria, 2023.
ista: Julseth M. 2023. The effect of local population structure on genetic variation
at selected loci in the A. majus hybrid zone. Institute of Science and Technology
Austria.
mla: Julseth, Mara. The Effect of Local Population Structure on Genetic Variation
at Selected Loci in the A. Majus Hybrid Zone. Institute of Science and Technology
Austria, 2023, doi:10.15479/at:ista:12800.
short: M. Julseth, The Effect of Local Population Structure on Genetic Variation
at Selected Loci in the A. Majus Hybrid Zone, Institute of Science and Technology
Austria, 2023.
date_created: 2023-04-04T18:57:11Z
date_published: 2023-04-05T00:00:00Z
date_updated: 2023-06-02T22:30:05Z
day: '05'
ddc:
- '576'
degree_awarded: MS
department:
- _id: GradSch
- _id: NiBa
doi: 10.15479/at:ista:12800
file:
- access_level: closed
checksum: b76cf6d69f2093d8248f6a3f9d4654a4
content_type: application/vnd.openxmlformats-officedocument.spreadsheetml.sheet
creator: mjulseth
date_created: 2023-04-06T06:09:40Z
date_updated: 2023-06-02T22:30:04Z
embargo_to: open_access
file_id: '12805'
file_name: Dispersaldata.xlsx
file_size: 52795
relation: supplementary_material
- access_level: open_access
checksum: 5a13b6d204371572e249f03795bc0d04
content_type: application/vnd.wolfram.nb
creator: mjulseth
date_created: 2023-04-06T06:11:27Z
date_updated: 2023-06-02T22:30:04Z
embargo: 2023-06-01
file_id: '12806'
file_name: 2023_MSc_ThesisMaraJulseth_Notebook.nb
file_size: 787239
relation: supplementary_material
- access_level: closed
checksum: c3ec842839ed1e66bf2618ae33047df8
content_type: application/vnd.openxmlformats-officedocument.wordprocessingml.document
creator: mjulseth
date_created: 2023-04-06T08:26:12Z
date_updated: 2023-06-02T22:30:04Z
embargo_to: open_access
file_id: '12812'
file_name: ThesisMaraJulseth_04_23.docx
file_size: 1061763
relation: source_file
- access_level: open_access
checksum: 3132cc998fbe3ae2a3a83c2a69367f37
content_type: application/pdf
creator: mjulseth
date_created: 2023-04-06T08:26:37Z
date_updated: 2023-06-02T22:30:04Z
embargo: 2023-06-01
file_id: '12813'
file_name: ThesisMaraJulseth_04_23.pdf
file_size: 1741364
relation: main_file
file_date_updated: 2023-06-02T22:30:04Z
has_accepted_license: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: '21'
publication_identifier:
issn:
- 2791-4585
publication_status: published
publisher: Institute of Science and Technology Austria
status: public
supervisor:
- first_name: Nicholas H
full_name: Barton, Nicholas H
id: 4880FE40-F248-11E8-B48F-1D18A9856A87
last_name: Barton
orcid: 0000-0002-8548-5240
title: The effect of local population structure on genetic variation at selected loci
in the A. majus hybrid zone
type: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2023'
...
---
_id: '10422'
abstract:
- lang: eng
text: Those who aim to devise new materials with desirable properties usually examine
present methods first. However, they will find out that some approaches can exist
only conceptually without high chances to become practically useful. It seems
that a numerical technique called automatic differentiation together with increasing
supply of computational accelerators will soon shift many methods of the material
design from the category ”unimaginable” to the category ”expensive but possible”.
Approach we suggest is not an exception. Our overall goal is to have an efficient
and generalizable approach allowing to solve inverse design problems. In this
thesis we scratch its surface. We consider jammed systems of identical particles.
And ask ourselves how the shape of those particles (or the parameters codifying
it) may affect mechanical properties of the system. An indispensable part of reaching
the answer is an appropriate particle parametrization. We come up with a simple,
yet generalizable and purposeful scheme for it. Using our generalizable shape
parameterization, we simulate the formation of a solid composed of pentagonal-like
particles and measure anisotropy in the resulting elastic response. Through automatic
differentiation techniques, we directly connect the shape parameters with the
elastic response. Interestingly, for our system we find that less isotropic particles
lead to a more isotropic elastic response. Together with other results known about
our method it seems that it can be successfully generalized for different inverse
design problems.
alternative_title:
- ISTA Master's Thesis
article_processing_charge: No
author:
- first_name: Anton
full_name: Piankov, Anton
id: 865E3C26-AA8C-11E9-A409-C4C4E5697425
last_name: Piankov
citation:
ama: Piankov A. Towards designer materials using customizable particle shape. 2021.
doi:10.15479/at:ista:10422
apa: Piankov, A. (2021). Towards designer materials using customizable particle
shape. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:10422
chicago: Piankov, Anton. “Towards Designer Materials Using Customizable Particle
Shape.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/at:ista:10422.
ieee: A. Piankov, “Towards designer materials using customizable particle shape,”
Institute of Science and Technology Austria, 2021.
ista: Piankov A. 2021. Towards designer materials using customizable particle shape.
Institute of Science and Technology Austria.
mla: Piankov, Anton. Towards Designer Materials Using Customizable Particle Shape.
Institute of Science and Technology Austria, 2021, doi:10.15479/at:ista:10422.
short: A. Piankov, Towards Designer Materials Using Customizable Particle Shape,
Institute of Science and Technology Austria, 2021.
date_created: 2021-12-07T10:48:06Z
date_published: 2021-12-07T00:00:00Z
date_updated: 2023-09-07T13:34:12Z
day: '07'
ddc:
- '530'
degree_awarded: MS
department:
- _id: GradSch
- _id: CaGo
doi: 10.15479/at:ista:10422
file:
- access_level: closed
checksum: 114e8f4b2c002c6c352416c12de2c695
content_type: application/x-zip-compressed
creator: cchlebak
date_created: 2021-12-07T11:13:52Z
date_updated: 2022-03-10T12:10:25Z
file_id: '10424'
file_name: Thesis.zip
file_size: 394018
relation: source_file
- access_level: closed
checksum: cd15ae991ced352a9959815f794e657c
content_type: application/vnd.openxmlformats-officedocument.wordprocessingml.document
creator: cchlebak
date_created: 2021-12-07T11:14:01Z
date_updated: 2022-03-10T12:10:25Z
file_id: '10425'
file_name: Preliminary_pages_Piankov.docx
file_size: 47638
relation: source_file
- access_level: open_access
checksum: e6899c798b75ba42fab9822bce309050
content_type: application/pdf
creator: cchlebak
date_created: 2021-12-07T11:20:35Z
date_updated: 2021-12-07T11:20:35Z
file_id: '10426'
file_name: 2021_Piankov_combined.pdf
file_size: 484965
relation: main_file
success: 1
file_date_updated: 2022-03-10T12:10:25Z
has_accepted_license: '1'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
publication_identifier:
issn:
- 2791-4585
publication_status: published
publisher: Institute of Science and Technology Austria
status: public
supervisor:
- first_name: Carl Peter
full_name: Goodrich, Carl Peter
id: EB352CD2-F68A-11E9-89C5-A432E6697425
last_name: Goodrich
orcid: 0000-0002-1307-5074
title: Towards designer materials using customizable particle shape
type: dissertation
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2021'
...